On the decimal numbers base n

K. K. Poon*, K. W. Yeung, Wai Chee SHIU

*Corresponding author for this work

Research output: Contribution to journalJournal articlepeer-review


This paper focuses on the representation of a proper fraction a/b by a decimal number base n where n is any integer greater than 1. The scope is narrowed to look at only fractions where a, b are positive integers with a < b and b not equal to 0 nor equal to 1. Some relationships were found between b and n , which determine whether the representation will become either finite decimal, pure recurring decimal or mixed decimal base n . Three theorems have been proven to indicate the deciding factors and the relationships. In addition, the length of the finite decimal numbers base n was further explored.

Original languageEnglish
Pages (from-to)601-605
Number of pages5
JournalInternational Journal of Mathematical Education in Science and Technology
Issue number6
Publication statusPublished - 15 Sept 2005

Scopus Subject Areas

  • Mathematics (miscellaneous)
  • Education
  • Applied Mathematics


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